Advertisements
Advertisements
प्रश्न
A trader fixes the selling price of his goods at 50% above the cost price. He sells half of his stock at this price, a quarter of his stock at a discount of 20% on the original selling price, and the rest at a discount of 36% on the original selling price. Find the gain percent altogether.
Advertisements
उत्तर
Let the C.P. of each article bought = Rs.100
Let the number of articles bought = x
∴ C.P. of the articles = Rs.100x
M.P. of the articles
= Rs.100 + 50% of Rs.100
= Rs.150
Stage 1 :
No. of articles sold at Rs.150 = `x/(2)`
∴ S.P. of `x/(2)`articles
= Rs.`(150 xx x/2)`
= Rs.75x
Stage 2 :
Discount
= 20% of Rs.150
= `(20)/(100) xx "Rs."150`
= Rs.30
∴ S.P.
= Rs.150 - Rs.30
= Rs.120
No. of articles sold at Rs.120 = `x/(4)`
∴ S.P. of `x/(2)`articles
= Rs.`(120 xx x/4)`
= Rs.30x
Stage 3 :
Discount
= 36% of Rs.150
= `(36)/(100) xx "Rs."150`
= Rs.54
No. of articles sold at Rs.96 = `x/(4)`
∴ S.P. of `x/(2)`articles
= Rs.`(96 xx x/4)`
= Rs.24x
Total S.P. of all articles
= Rs.75x + Rs.30x + Rs.24x
= Rs.129x
∵ S.P. > C.P., therefore there is a gain
Gain
= Rs.129x - Rs.100x
= Rs,29x
Gain %
= `"gain"/"C.P." xx 100`
= `(29x)/(100x) xx 100`
= 29%.
APPEARS IN
संबंधित प्रश्न
A boy buys an old bicycle for ₹ 162 and spends ₹ 18 on its repairs before selling the bicycles for ₹ 207. Find his gain or loss percent.
John sold an article to Peter at 20% profit and Peter sold it to Mohan at 5% loss. If Mohan paid Rs.912 for the article; find how much did John pay for it?
The marked price of a dinning table is Rs. 23,600 and is available at a discount of 8%. Find its selling price.
The cost price of an article is 25% below the marked price. If the article is available at a 15% discount and its cost price is Rs. 2,400; find:
(i) Its marked price
(ii) its selling price
(iii) the profit percent.
Find a single discount (as a percent) equivalent to following successive discounts:
20%, 10% and 5%
A dealer marks his goods 45% above the cost price and then allows 20% discount on it. What is the cost price of an article on which he gains Rs.960?
Find the M.P. in the following :
S.P. = Rs.1245, Discount = 17%
A tradesman sells his goods at 10% discount. What price should he mark on an article that costs him Rs.2400, to gain 12.5%?
A dealer is selling an article marked Rs.2000 at a discount of 20%. Find the selling price and the cost price of if he makes a profit of 25%.
If marked price of an article is Rs 1,200 and the discount is 12% then the selling price of the article is ______.
